I Cut My Finger Between My Pinky Finger. I Cut

I cut my finger between my pinky finger. I cut it really deep on a glass soon as it happened I put pressure on the cut and wash cut. I put antiseptic and antibiotic ointment on it. It felt ok intell a hour or 2 went by. It happened around 9:30 pm almost 10:00pm it's now 1:00am my finger is looking good but it's now starting to hurt and feeling funny. I can now see that it's really deep it may be to the muscle And bone. Do I still have time to take I was trying to wait intell the morning to go to the doctor. I hope I don't have any nerve damages.